Enter your answer and show all the steps that you use to solve this problem in the space provided.
Use synthetic division to find P(–3)
for P(x)=x4–2x3–4x+4
To find P(-3) using synthetic division, we first set up the synthetic division using -3 as the divisor:
-3 | 1 -2 0 -4 4
Bringing down the 1, we get:
-3 | 1 -2 0 -4 4
1
Multiplying -3 by 1, we get -3. Adding that to -2, we get -5:
-3 | 1 -2 0 -4 4
1 5
Multiplying -3 by -5, we get 15. Adding that to 0, we get 15:
-3 | 1 -2 0 -4 4
1 5 15
Multiplying -3 by 15, we get -45. Adding that to -4, we get -49:
-3 | 1 -2 0 -4 4
1 5 15 -49
Multiplying -3 by -49, we get 147. Adding that to 4, we get 151:
-3 | 1 -2 0 -4 4
1 5 15 -49 151
Therefore, P(-3) = 151.